2. Volume
Volume is the quantity of a three-dimensional space or enclosed
figure. The unit of a volume or capacity is the cube of a unit.
Some instruments that are used in measuring volume or capacity
are:
ο§ graduated cylinder
ο§ Beaker
ο§ measuring cups
The are for the volume of any prism is equal to the area of the
base times height.
3. Example 1.
What is the volume of a cube with sides of 15 cm
?
Solution:
V = s3
V = (15 cm)3
= 15cm . 15cm . 15 cm
V = 3,375 cm3
4. Example 2.
What is the volume of a rectangular
prism whose length is 10 in, the width is
3 in, and the height is 4 in.
V = lwh
V = (10 in)(3 in)(4 in)
= 120 in3
5. Example 3.
How much water can a cylinder tank contain if
the radius is 2cm and the height is 4cm ?
V = πr2h
where r = radius and h = height
V = πr2h
= (3.14)(2 cm)2(4 cm)
= (3.14) (2cm . 2cm) (4 cm)
= (3.14)(4cm2)(4 cm)
= 50.24 cm3
6. Example 4.
What is the volume of a cylinder whose
diameter is 14 cm and height is 10 cm ?
radius =
ππππππ‘ππ
2
=
14 ππ
2
= 7 cm
To find the volume,
V = πr2h
= (3.14)(7 cm)2(10 cm)
= (3.14) (7cm . 7cm) (10 cm)
= (3.14)(49 cm2)(10 cm)
= 1,538.6 cm3
9. Time
How many seconds are there in 1 hour?
Conversion: 1 minute = 60 seconds
1 hour = 60 minutes
1hr x
60 πππ
1 βπ
x
60 π ππ
1 πππ
= (1)(60)(60 sec) = 3,600 seconds
10. Example 2. How many hours are there in 2 weeks?
Conversion: 1 day = 24 hours
1 week = 7 days
2 weeks x
7πππ¦π
1 π€πππ
x
24βππ’ππ
1 πππ¦
= (2)(7)(24hours) = 336 hours
Editor's Notes
NOTE:
To change the image on this slide, select the picture and delete it. Then click the Pictures icon in the placeholder to insert your own image.